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Hyper-Graeco-Latin Squares and Fractional Factorial Designs

Author

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  • Pen-Hwang Liau
  • Pi-Hsiang Huang
  • Jui-Jung Ho
  • Yen-Hung Chen

Abstract

A Latin square of order s is an arrangement of the s letters in an s × s square so that every letter appears exactly once in every row and exactly once in every column. Copeland and Nelson (2000) used two examples to show that a Latin square can be chosen such that it corresponds to a fractional factorial design. In this article, we are going to study this topic more precisely. Furthermore, we will explore the relationship between fractional factorial designs and hyper-Graeco-Latin squares in general, where s is a prime or a power of a prime.

Suggested Citation

  • Pen-Hwang Liau & Pi-Hsiang Huang & Jui-Jung Ho & Yen-Hung Chen, 2014. "Hyper-Graeco-Latin Squares and Fractional Factorial Designs," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(10-12), pages 2286-2296, May.
    • Handle: RePEc:taf:lstaxx:v:43:y:2014:i:10-12:p:2286-2296
    DOI: 10.1080/03610926.2013.796986
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